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Finding the Fourth Proportional to 20,860.68, 31,298.01 and 6,821.36

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Solution

The fourth proportional to 20,860.68, 31,298.01 and 6,821.36 is: 10,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,860.68 : 31,298.01 = 6,821.36 : x
  2. Step 2: Convert to fraction form
    20,860.68/31,298.01 = 6,821.36/x
  3. Step 3: Cross multiply
    20,860.68x = 31,298.01 × 6,821.36
  4. Step 4: Simplify right side
    20,860.68x = 213,494,889.29
  5. Step 5: Solve for x
    x = 213,494,889.29/20,860.68
  6. Step 6: Final answer
    x = 10,234.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.